Abstract
In this paper, we introduce concepts of fuzzy n-fold Boolean ideals in BL-algebras and we state and prove several property of fuzzy n-fold Boolean ideals. Using a level subset of a fuzzy set in a BL-algebra, we give characterization of fuzzy n-fold Boolean ideals. Also, we prove that the homomorphic image and preimage of fuzzy n-fold Boolean ideals are fuzzy n-fold Boolean ideals. Finally, we study relationship among fuzzy n-fold integral, fuzzy n-fold Boolean and fuzzy prime ideals in BL-algebras.
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